λ
Harmonic Matrix

576,505

5 × 115301
Deficient Odd Composite

576,505 has digital root 1. The neighboring primes are 576493 and 576509; its proper-divisor sum differs from the starting integer by -461,198.

Prime Factor Structure

Factorization String 5 × 115301
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 691,812
Proper Divisor Sum 115,307
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #576493 ← → #576509

Radix Representation

Decimal 576505
Binary 10001100101111111001 (20 bits)
Octal 0o2145771
Hexadecimal 0x8CBF9

Divisor Catalog (4)

1 5 115,301 576,505

Collatz Trajectory (177 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

576,505 1,729,516 864,758 432,379 1,297,138 648,569 1,945,708 972,854 486,427 1,459,282 729,641 2,188,924 1,094,462 547,231 1,641,694 820,847 2,462,542 1,231,271 3,693,814 1,846,907 5,540,722 2,770,361 8,311,084 4,155,542 2,077,771 6,233,314 3,116,657 9,349,972 4,674,986 2,337,493 7,012,480 3,506,240 1,753,120 876,560 438,280 219,140 109,570 54,785 164,356 82,178 41,089 123,268 61,634 30,817 92,452 46,226 23,113 69,340 34,670 17,335 52,006 26,003 78,010 39,005 117,016 58,508 29,254 14,627 43,882 21,941

More profiles

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